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Finding the Fourth Proportional to 13,564, 20,297.40 and 8,020.36

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Solution

The fourth proportional to 13,564, 20,297.40 and 8,020.36 is: 12,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564 : 20,297.40 = 8,020.36 : x
  2. Step 2: Convert to fraction form
    13,564/20,297.40 = 8,020.36/x
  3. Step 3: Cross multiply
    13,564x = 20,297.40 × 8,020.36
  4. Step 4: Simplify right side
    13,564x = 162,792,455.06
  5. Step 5: Solve for x
    x = 162,792,455.06/13,564
  6. Step 6: Final answer
    x = 12,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.